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Geometric properties of functions containing derivatives of Bessel function      
Yazarlar
Kamaljeet Gangania
Dr. Öğr. Üyesi Sercan KAZIMOĞLU Dr. Öğr. Üyesi Sercan KAZIMOĞLU
Kafkas Üniversitesi, Türkiye
Özet
Let Jξ(z) denotes the Bessel function of the first kind of order ξ. For three different kinds of normalizations of Nξ(z)=az2Jξ″(z)+bzJξ′(z)+cJξ(z), we find the radius for Ma–Minda classes: S∗φ-radii and Cφ-radii. We further establish the radii of γ-spirallike of order α and convex γ-spirallike of order α of these normalized functions. As an application of our results, we derive sufficient conditions for the Nξ(z) to be a member of the unified subclasses of starlike and convex functions. The obtained radii are sharp.
Anahtar Kelimeler
30C15 | 30C45 | Bessel functions | Ma–Minda classes | Radius problems | Starlikeness and convexity | γ-Spirallike functions
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı The Journal of Analysis
Dergi ISSN 0971-3611
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 10-2024
Cilt No 32
Sayı 5
Sayfalar 2463 / 2484
Doi Numarası 10.1007/s41478-024-00737-0
Makale Linki http://dx.doi.org/10.1007/s41478-024-00737-0